NDA2020MathematicsIndefinite IntegrationActual
If p(x)=(4 e)^ 2 x , then what is p(x) d x equal to?
Options
- Ap(x) 1+2 2 +c
- Bp(x) 2(1+2 2) +c
- C2 p(x) 1+ 4 +c
- Dp(x) 1+ 2 +c
Correct answer
B. p(x) 2(1+2 2) +c
Step-by-step solution
P(x) d x= (4 e)^ 2 x d x= e^ 2 x( e+ 4) d x= e^ 2 x(1+ 4) d x= e^ 2 x(1+ 4) 2(1+ 4) +C where C= constant aligned & = (4 e)^ 2 x 2(1+2 2) +C & P(x) d x= P(x) 2(1+2 (2)) +C . aligned